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Exam Week 6 Math120

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EXAM WEEK 6 1.) Based on the linear regression, how much would you expect a 0.55-carat diamond to cost? A.) $2,500 2.) Based on the linear regression, how much would you expect a diamond that costs $5,500 to weigh? A.) 0.90 3.) You’re surprised to learn that instead of $100, a 0.30 carat co...

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  • January 16, 2023
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  • 2022/2023
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EXAM WEEK 6

1.) Based on the linear regression, how much would you expect a 0.55-carat diamond to cost?
A.) $2,500
2.) Based on the linear regression, how much would you expect a diamond that costs $5,500 to
weigh?
A.) 0.90
3.) You’re surprised to learn that instead of $100, a 0.30 carat costs $800. Which explanation would
make sense?
A.) All of the above
4.) If a residual is negative, what does it mean about the observed value?
A.) The predicted value is greater than the observed value
5.) If the expected value of a diamond is $3,500, but the observed value is $3,800. What is the
residual?
A.) $300
6.) Which of the datasets has the strongest correlation between the variable on the x-axis and the
variable on the y-axis?
A.) Horsepower to time from 0-60 mph
7.) Which of the correlation coefficients indicates the weakest correlation between the variables?
A.) R=0.05
8.) If the correlation between the price of two stocks is 0.83. What does this indicate?
A.) Strong positive correlation
9.) If the image represents the relationship between the weight of a diamond and its price. How
would you interpret the regression models?
A.) Both the linear and nonlinear models predict well, but the nonlinear model is slightly better
10.)If the coefficient of determination between the price of a house and its square footage is 65%.
What percentage of the variation in the price of the house is explained by its size?
A.) 65%
11.)It the correlation coefficient between the price of a car and its mileage is 60%. What percentage
of the price of the car is explained by its mileage?
A.) 60%
12.)If the regression line comparing the age of a used car to its price has the equation
C=3000a+3600. What is the expected cost of an 8-year-old car?
A.) $12,000
13.)If the regression line comparing the age of a used car to its price has the equation
C=3000a+3600 and the residual is $3,000. What is the observed cost of an 8-year-old car?
A.) $15,000
14.)If the regression line comparing the age of a used car to its price has the equation
C=3000a+3600. What is the expected age of a car that costs $27,000?
A.) 3 years
15.)If the r-squared of the regression line comparing the age of a used car to its costs is 36%. What is
the correlation coefficient?
A.) 0.60




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